Fixed point theorems of contractive mappings on soft parametric metric space


Gündüz Ç., Bayramov S., Coşkun A.

AIMS MATHEMATICS, vol.9, no.4, pp.7945-7954, 2024 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 9 Issue: 4
  • Publication Date: 2024
  • Doi Number: 10.3934/math.2024386
  • Journal Name: AIMS MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Directory of Open Access Journals
  • Page Numbers: pp.7945-7954
  • Keywords: Banach’s fixed point theorem, parametric soft metric space, soft complete parametric metric space
  • Kocaeli University Affiliated: Yes

Abstract

The purpose of this study was to introduce soft topology generated by soft parametric metric space and prove Banach's fixed point theorem as an extension of soft complete parametric metric space. An illustrative example was given by using this fixed point theorem.